The complete question in the attached figure
we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2
point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2
the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2
therefore
the answer is the option
<span>
C) f(x) = 2(x + 1)2 + 2</span>
Answer:
The cost to fill the new family size box will be 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
we have
so
To find the new cost multiply the original cost by the scale factor elevated to the cube
The new volume would be
Answer:
1.$175
2.$128
3.$55
Step-by-step explanation:
1.
40×.25=35
140+35=175
2.
80×.6=48
80+48=128
3.
50×.1=5
50+5=55
A, C and E all work in the equations. In order for them to work, you must use the ordered pair in each of the three situations. Below is the work for all of the correct answers.
Ordered Pair A : (1, -1)
y < x + 1
-1 < 1 + 1
-1 < 1 (TRUE)
y < 4
-1 < 4 (TRUE)
x < 6
1 < 6 (TRUE)
Ordered Pair C : (4, 2)
y < x + 1
2 < 4 + 1
2 < 5 (TRUE)
y < 4
2 < 4 (TRUE)
x < 6
5 < 6 (TRUE)
Ordered Pair E : (4, -2)
y < x + 1
-2 < 4 + 1
-2 < 5 (TRUE)
y < 4
-2 < 4 (TRUE)
x < 6
4 < 6 (TRUE)
Answer:
20%
Step-by-step explanation:
Total Litres in mixture=(0.60+0.4)=1 Litre
alcohol in first portion:=0.10(0.60)=0.06 Litres
alcohol in second portion:=0.35(0.40)=0.14 Litres
Total alcohol in mixture = 0.06 +0.14 = 0.20
% of alcohol in mixture:
%
